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Finding the Fourth Proportional to 149.87, 224.84 and 127.20

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Solution

The fourth proportional to 149.87, 224.84 and 127.20 is: 190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.87 : 224.84 = 127.20 : x
  2. Step 2: Convert to fraction form
    149.87/224.84 = 127.20/x
  3. Step 3: Cross multiply
    149.87x = 224.84 × 127.20
  4. Step 4: Simplify right side
    149.87x = 28,599.01
  5. Step 5: Solve for x
    x = 28,599.01/149.87
  6. Step 6: Final answer
    x = 190.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.